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Electrostatic Potential And Capacitance

Question
CBSEENPH12039872

Four point charge -Q,-q,2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is

  • Q= -q

  • Q=-1/q

  • Q=q

  • Q =1/q

Solution

A.

Q= -q







If potential at centre is zero, then
V1 +V2+V3 +V4 = 0
negative kQ over straight r minus kq over straight r plus fraction numerator straight k 2 straight Q over denominator straight r end fraction space plus fraction numerator straight k 2 straight q over denominator straight r end fraction space equals space 0
minus straight Q minus straight q plus 2 straight q plus 2 straight Q space equals space 0
straight q space equals negative straight q

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